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Multi-Scale Numerical Simulation of Flow, Heat and Mass Transfer Behaviors in Dense Gas-Solid Flows: A Brief Review

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Abstract

Dense gas-solid flows are very common in actual production and industrial fields, so it is significant to understand their hydrodynamic characteristics and heat and mass transfer behaviors. This article provides a brief review of multi-scale numerical simulation of flow, heat and mass transfer behaviors in dense gas-solid flows. It describes multiscale models (direct numerical simulation, discrete particle model, and two-fluid model) and the results of related research. Finally, it discusses possible future developments in research on the flow, heat and mass transfer characteristics of dense gas-solid two-phase flows.

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Abbreviations

A p :

area of the particle/m2

AR :

aspect ratio

C p,g :

specific heat capacity of the gas phase/J·kg−1·K−1

C p,p :

specific heat capacity of the particle/J·kg−1·K−1

D :

rate of strain tensor of the solid phase/s−1

d p :

particle diameter/m

e pp :

coefficient of restitution between particles

F c :

contact force/N

F d :

drag force/N

F other :

other force/N

g :

gravitational acceleration/m·s2

h :

heat transfer coefficient/W·m−2·K−1

I :

unit tensor

I p :

moment of inertia/kg·m2

m p :

particle mass/kg

N c :

number of particles in the cell

Nu :

Nusselt number

Pr :

Prandtl number

p s :

solid phase pressure/Pa

p f s :

solid frictional pressure/Pa

Q pg :

heat transfer rate of particle-fluid convection/W

Q pp :

heat transfer rate of particle-particle conduction/W

Q pr :

heat transfer rate of radiation/W

r c :

particle-particle contact radius/m

r p :

position of particle center/m

Re :

Reynolds number

S p :

momentum exchange source term/kg·m−2·s−2

T :

torque/N·m

T g :

temperature of the gas phase/K

T p :

temperature of the particle/K

T r :

relative temperature between particles/K

t :

time/s

u g :

gas velocity/m·s−1

u s :

solid velocity/m·s−1

V c :

fluid cell volume/m3

V p :

particle volume/m3

v p :

particle translational velocity/m·s−1

CFD:

computational fluid dynamics

CFM:

continuous force method

CLC:

chemical looping combustion

c:

contact

DEM:

discrete element method

DFM:

direct force method

DNS:

direct numerical simulation

DPM:

discrete particle model

ECT:

electrical capacitance tomography

EMMS:

energy-minimization multi-scale

eff:

effective

f:

fluid

g:

gas phase

IBM:

immersed boundary method

L:

local coordinate system

LBM:

lattice Boltzmann method

LDV:

laser Doppler velocimetry

MPT:

magnetic particle tracking

N-S:

Navier-Stokes

PDPA:

phase Doppler particle analysis

PEPT:

positron emission particle tracking

PIV:

particle image velocimetry

p:

particle

s:

solid phase

TFM:

two-fluid model

β :

drag coefficient/kg·m3·s−1

γ θs :

collisional dissipation rate of energy/kg·m−3·s−1

ε g :

volume fraction of the gas phase

ε p :

particle emissivity

ε s :

volume fraction of the solid phase

θ s :

granular temperature/m2·s2

κ :

thermal conductivity/W·m−1·K−1

λ g :

thermal conductivity of the gas phase/W·m−1·K−1

λ s :

solid bulk viscosity/Pa·s

μ :

shear viscosity/Pa·s

ρ :

density/kg·m−3

σ :

Stefan-Boltzmann constant/J·K−1

τ :

stress tensor/Pa

ω :

rotational velocity/rad·s−1

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Acknowledgement

This work is financially supported by the National Natural Science Foundation of China (U20A20304).

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Authors and Affiliations

  1. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China

    Yurong He, Anxing Ren, Tianqi Tang & Tianyu Wang

  2. Heilongjiang Key Laboratory of New Energy Storage Materials and Processes, School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China

    Yurong He, Anxing Ren, Tianqi Tang & Tianyu Wang

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  1. Yurong He
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  2. Anxing Ren
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Correspondence to Yurong He.

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He, Y., Ren, A., Tang, T. et al. Multi-Scale Numerical Simulation of Flow, Heat and Mass Transfer Behaviors in Dense Gas-Solid Flows: A Brief Review. J. Therm. Sci. 31, 607–633 (2022). https://doi.org/10.1007/s11630-022-1605-x

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  • DOI: https://doi.org/10.1007/s11630-022-1605-x

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